4806123564 has 96 divisors (see below), whose sum is σ = 12710541312. Its totient is φ = 1400256000.

The previous prime is 4806123563. The next prime is 4806123599. The reversal of 4806123564 is 4653216084.

It is a super-3 number, since 3×4806123564³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4806123563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638704 + ... + 646184.

It is an arithmetic number, because the mean of its divisors is an integer number (132401472).

Almost surely, 2^4806123564 is an apocalyptic number.

4806123564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4806123564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355270656).

4806123564 is an abundant number, since it is smaller than the sum of its proper divisors (7904417748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4806123564 is a wasteful number, since it uses less digits than its factorization.

4806123564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7687 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4806123564 is about 69326.2112335587. The cubic root of 4806123564 is about 1687.5823610392.

The spelling of 4806123564 in words is "four billion, eight hundred six million, one hundred twenty-three thousand, five hundred sixty-four".